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Finding the Fourth Proportional to 17,833.96, 24,611.41 and 9,876.93

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Solution

The fourth proportional to 17,833.96, 24,611.41 and 9,876.93 is: 13,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.96 : 24,611.41 = 9,876.93 : x
  2. Step 2: Convert to fraction form
    17,833.96/24,611.41 = 9,876.93/x
  3. Step 3: Cross multiply
    17,833.96x = 24,611.41 × 9,876.93
  4. Step 4: Simplify right side
    17,833.96x = 243,085,173.77
  5. Step 5: Solve for x
    x = 243,085,173.77/17,833.96
  6. Step 6: Final answer
    x = 13,630.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.